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For questions on the Hilbert function and Hilbert polynomial of graded algebras over fields.

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Ideals with the same Hilbert series

Consider a polynomial ring $\mathbb C[x_1,\ldots,x_n]$ that is $\mathbb Z_{\ge 0}$-graded by degree. Let $I$ and $J$ be two homogeneous ideals therein with the same Hilbert series, i.e. with their hom …
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